Disclosure of Invention
The invention aims to solve the problem of partial reliability evaluation of an electric energy meter under the condition of environmental stress related to temperature and humidity.
The technical scheme adopted by the invention is as follows:
A stepping stress test method of an electric energy meter under the combined action of temperature and humidity stress comprises the following steps:
And step 1, acquiring temperature and humidity information in a test environment.
And 2, establishing a degradation model in the temperature and humidity acceleration stress model of the electric energy meter according to the temperature and humidity information.
And 3, establishing an acceleration model in the electric energy meter temperature and humidity acceleration stress model according to the temperature and humidity information.
And 4, obtaining the temperature and humidity stress limit of the electric energy meter by utilizing a pre-experiment.
And 5, determining the stress applied by each test according to the temperature and humidity stress limit of the electric energy meter.
And 6, determining the minimum time for applying each test stress according to the acceleration model.
And 7, performing a double-crossover stepping stress test according to the determined degradation model, the stress applied by each test and the minimum time for applying the stress by each test.
Preferably, the minimum time for each test stress application is determined in step 6 as follows:
wherein D min is the minimum test time, χ 2 (α,2r+2) is chi-square distribution, alpha is confidence, 2r+2 is degree of freedom, r is total number of test failures, Y is required service life, N is test sample size, F is accumulated failure rate, To the electromagnetic interference stress level under the conditions of use,Represents the percentage relative humidity under the conditions of use,Represents the percentage relative humidity under stress conditions,The number of powers is represented as a number of powers,The activation energy is indicated as such,Representing the boltzmann constant,Represents the thermodynamic temperature under stress conditions,Represents the thermodynamic temperature under the conditions of use.
Preferably, the degradation model in the step 2 is as follows:
;
Wherein X (t) represents the performance degradation amount, t represents the moment, mu is a drift parameter, sigma is a diffusion coefficient, B (t) is a standard Brownian motion, epsilon (t) represents a random measurement error, epsilon (t) is independently and uniformly distributed and has epsilon-N (0, sigma ε 2), In order for the drift parameter to be desirable,For the variance of the drift parameter,Error variance is measured randomly.
Preferably, in the step 5, the normal working stress and the limiting stress of the electric energy meter are substituted into an applied stress formula, the applied stress is determined, and the applied stress formula is as follows:
;
Wherein S 1、S2、S3 is 3 stress levels, S 0 is the upper limit of normal working stress, S max is the highest working stress, Is an intermediate variable.
The method for obtaining the temperature and humidity stress limit of the electric energy meter by utilizing the pre-experiment in the step 4 is preferred to conduct the pre-experiment on the electric energy meter with the same specification and batch as the electric energy meter to be tested, and the temperature limit stress and the humidity limit stress of the electric energy meter are respectively obtained.
Preferably, the electromagnetic interference stress level formula is as follows:
;
Wherein, To the electromagnetic interference stress level under the conditions of use,Is the disturbance voltage.
The invention further provides a step stress test system of an electric energy meter under the combined action of temperature and humidity stress, which is used for realizing the step stress test method of the electric energy meter under the combined action of temperature and humidity stress, and comprises an input unit, a degradation model unit, an acceleration model unit, a temperature and humidity stress limit unit, an applied stress determining unit, a stress applying minimum time unit and a double-cross step stress test unit, wherein:
the input unit is used for acquiring temperature and humidity information in the test environment.
And the degradation model unit is used for establishing a degradation model in the temperature and humidity acceleration stress model of the electric energy meter according to the temperature and humidity information.
And the acceleration model unit is used for establishing an acceleration model in the temperature and humidity acceleration stress model of the electric energy meter according to the temperature and humidity information.
The temperature and humidity stress limit unit is used for obtaining the temperature and humidity stress limit of the electric energy meter by utilizing a pre-experiment.
And the stress application determining unit is used for determining the stress application of each test according to the temperature and humidity stress limit of the electric energy meter.
And the stress application minimum time unit is used for determining the minimum time of each test stress application according to the acceleration model.
The double-crossover stepping stress test unit is used for carrying out double-crossover stepping stress test according to the determined degradation model, each test stress application and each test stress application minimum time.
It is a further object of the invention to provide a computer system comprising a memory for storing computer programs/instructions and a processor. The processor is used for executing the computer program/instruction to realize the electric energy meter stepping stress test method under the combined action of temperature and humidity stress.
Compared with the prior art, the invention has the following beneficial effects:
Firstly, the temperature and humidity stress limit of the electric energy meter is obtained through a pre-experiment, and then the electric energy meter is subjected to an accelerated degradation test through calculation by adopting a double-cross stepping stress test method. The method can overcome the defects of high requirement on sample size and long test time of the traditional constant stress test method, effectively shortens the time for accelerating the degradation test of the electric energy meter, reduces the test cost, improves the test efficiency, and solves the problem of evaluating partial reliability of the electric energy meter under the condition of involving the environmental stress of temperature and humidity.
Detailed Description
The present application is further illustrated in the accompanying drawings and detailed description which are to be understood as being merely illustrative of the application and not limiting of its scope, and various equivalent modifications to the application will fall within the scope of the application as defined in the appended claims after reading the application.
The invention designs a stepping stress test method of an electric energy meter under the combined action of temperature and humidity stress, which is characterized by establishing a degradation model in an electric energy meter temperature and humidity acceleration stress model based on a Wiener process, establishing an acceleration model in the temperature and humidity acceleration stress model based on a generalized Eyring model, obtaining the temperature and humidity stress limit of the electric energy meter by utilizing a pre-experiment, substituting normal working stress and limiting stress of the electric energy meter into an applied stress calculation formula to determine each test applied stress, substituting each factor into a stress time calculation formula to determine the minimum time of each test stress application, and adopting a double-crossover stepping stress test method to perform an acceleration degradation test on the electric energy meter, as shown in figure 1, and specifically comprising the following steps:
And step 1, acquiring temperature and humidity information in a test environment.
And 2, establishing a degradation model in the temperature and humidity acceleration stress model of the electric energy meter according to the temperature and humidity information.
The Wiener process is used to describe the power meter degradation process and take into account the effects of measurement errors in the degradation model.
Typically, the performance degradation of the product will show an increasing trend away from the original point, and then the random motion process away from the original point can be described by adding a drift term to the standard brownian motion, and the specific expression of the performance degradation process is as follows:
(1)
Where X (t) represents the amount of performance degradation, μ is a drift parameter, σ is a diffusion coefficient, and B (t) is a standard Brownian motion.
Because of the limitation of the performance of the signal acquisition equipment and the unavoidable interference of environmental factors, the finally acquired signal data of the electric energy meter can be influenced by random errors, and the influence of measurement errors is considered in the degradation model in order to ensure the accuracy of the model. Let ε represent the random measurement error, ε (t) is independently and uniformly distributed and has ε -N (0, σ ε 2). Then the performance degradation model expression after adding the measurement error term on the basis of the model is as follows:
(2)
Wherein X (t) represents the performance degradation amount, t represents the moment, mu is a drift parameter, sigma is a diffusion coefficient, B (t) is a standard Brownian motion, epsilon (t) represents a random measurement error, epsilon (t) is independently and uniformly distributed and has epsilon-N (0, sigma ε 2), In order for the drift parameter to be desirable,For the variance of the drift parameter,Error variance is measured randomly.
Depending on the nature of the Wiener process, the probability density function can be expressed as:
(3)
In the formula, The probability density is represented by a value representing,Representing the incremental amount of change in the degradation of the performance,The time of the change is indicated and,Represents the standard deviation of the performance degradation,Representing the performance degradation mean.
The corresponding cumulative distribution function is:
(4)
In the formula, The cumulative distribution function is represented as a function of the distribution, The probability is represented by a probability that,
Correspondingly, the reliability function R (t) of the electric energy meter is as follows:
(5)
wherein R (t) represents the reliability of the electric energy meter.
And 3, establishing an acceleration model in the electric energy meter temperature and humidity acceleration stress model according to the temperature and humidity information.
The generalized Eyring model further considers the influence of factors such as material properties, working conditions, activation energy and the like on the performance degradation rate of the test sample. The specific form is as follows:
(6)
In the formula, Characteristic parameters related to the performance degradation rate of the electric energy meter are represented,Representing the related parameter I of the performance degradation rate of the electric energy meter,The thermodynamic temperature is indicated as being the temperature of the fluid,Indicating a thermodynamic temperature related parameter, and,The activation energy is indicated as such,Representing the boltzmann constant,Representing a related parameter II of the performance degradation rate of the electric energy meter,Represents the stress outside the temperature and the stress,And representing the performance degradation rate related parameter III of the electric energy meter.
Let s=log (RH) on the basis of the generalized Eyring model, where RH represents relative humidity, let m=0, and when the interaction between temperature and humidity is not considered, i.e. γ 3 =0, the model can be further simplified, the acceleration model is:
(7)
The model is also called Peck model, and the corresponding acceleration factor formula is:
(8)
In the formula, The acceleration factor is indicated as such,Indicating the relative humidity of the sample,The activation energy is indicated as such,Representing the boltzmann constant,The thermodynamic temperature is indicated as being the temperature of the fluid,Represents the percentage relative humidity under the conditions of use,Represents the percentage relative humidity under stress conditions,The number of powers is represented as a number of powers,Represents the thermodynamic temperature under the conditions of use,Representing the thermodynamic temperature under stress conditions. Activation energy E a =0.7, n=3.
And establishing an acceleration model based on the generalized Eyring model, and calculating an acceleration factor, so as to lay a foundation for the calculation of the stress applying time to be determined later.
And 4, obtaining the temperature and humidity stress limit of the electric energy meter by utilizing a pre-experiment.
And pre-experiment is carried out on the electric energy meters with the same specification and the same batch as the electric energy meters to be tested, and the temperature limit stress and the humidity limit stress of the electric energy meters are respectively obtained.
Other stresses of the test environment are guaranteed to be the stress of the intelligent electric energy meter under the normal working condition and are fixed. According to the structural characteristics of the intelligent electric energy meter and the early assembly and working experience, determining initial stress, step size and step duration of a step stress test, standing the electric energy meter for 3min between step sizes, continuously monitoring working states, and recording state parameters of the electric energy meter. When approaching the working limit stress, the step size is adjusted down appropriately. When the electric energy meter fails in a certain step length and returns the stress to the last step length, the fault meter resumes normal operation, and the stress is the limit stress of the electric energy meter, so that the normal operation stress upper limit S 0 and the highest operation stress S max are obtained.
And 5, determining the stress applied by each test.
Substituting normal working stress and limiting stress of the electric energy meter into an applied stress formula, determining the applied stress, wherein the applied stress formula is as follows:
(9)
Wherein S 1、S2、S3 is 3 stress levels, S 0 is the upper limit of normal working stress, S max is the highest working stress, Is an intermediate variable.
And 6, determining the minimum time for applying each test stress according to the acceleration model.
The minimum time for each test stress application was determined as follows:
(10)
Wherein D min is the minimum test time (in hours), χ 2 (α,2r+2) is chi-square distribution, Y is the required service life (in hours), alpha is the confidence level, alpha is the value of 1-CL, CL is the maximum value of the confidence level, 2r+2 is the degree of freedom, r is the total number of test failures, The comprehensive environmental factor is represented by N, the test sample size, F, the accumulated failure rate and AF.
When the coaction of multiple physical fields is considered, the temperature, the humidity and the electromagnetic stress are mutually coupled and overlapped to influence the effectiveness of the test result of the acceleration reliability, so that the comprehensive environmental factor about electromagnetic interference must be considered to solve the problem of deviation of the test result caused by the coupling of the multiple physical fields, and the formula of the comprehensive environmental factor about the electromagnetic interference is as follows:
(11)
(12)
Wherein, In order to integrate the environmental factors,To the electromagnetic interference stress level under the conditions of use,Is the disturbance voltage. According to formula (12), the electromagnetic interference stress level is that E c is equal to 1 when the interference voltage is less than or equal to 500V, E c is equal to 2 when the interference voltage is more than 500 and less than or equal to 1000V, E c is equal to 3 when the interference voltage is more than 1000 and less than or equal to 2000V, E c is equal to 4 when the interference voltage is more than 2000 and less than or equal to 4000V, and E c is equal to 5 when the interference voltage is more than 4000.
Substituting the formula (11) and the formula (8) into the formula (10) and simplifying the formula:
(12)
The obtained minimum time formula of each test stress application is as follows:
(13)
Wherein D min is the minimum test time, χ 2 (α,2r+2) is chi-square distribution, Y is the required service life, alpha is the confidence, 2r+2 is the degree of freedom, r is the total number of test failures, N is the test sample size, F is the cumulative failure rate, To the electromagnetic interference stress level under the conditions of use,Represents the percentage relative humidity under the conditions of use,Represents the percentage relative humidity under stress conditions,The number of powers is represented as a number of powers,The activation energy is indicated as such,Representing the boltzmann constant,Represents the thermodynamic temperature under stress conditions,Represents the thermodynamic temperature under the conditions of use.
And 7, performing a double-crossover stepping stress test according to the determined degradation model, the stress applied by each test and the minimum time for applying the stress by each test.
And (3) summarizing the calculation results of the acceleration factor obtained in the step (3), the limit stress obtained in the step (4), the stress application obtained in the step (5) and the minimum stress application time obtained in the step (6) to form a complete double-cross stepping stress test scheme shown in the table 1, and then carrying out a double-cross stepping stress test.
Table 1 test protocol
Stress numbering |
Temperature (° C) |
Humidity (%) |
Acceleration factor AF |
Minimum time of stress application (h) |
S0 |
80 |
85 |
238 |
798 |
S1 |
87 |
85 |
372 |
510 |
S2 |
87 |
90 |
442 |
430 |
S3 |
95 |
90 |
721 |
263 |
Smax |
95 |
95 |
848 |
224 |
In another embodiment, an electric energy meter step stress test system under combined action of temperature and humidity stress is provided, which is used for realizing the electric energy meter step stress test method under combined action of temperature and humidity stress, and comprises an input unit, a degradation model unit, an acceleration model unit, a temperature and humidity stress limit unit, an applied stress determining unit, a stress applied minimum time unit and a double-cross step stress test unit, wherein:
the input unit is used for acquiring temperature and humidity information in the test environment.
And the degradation model unit is used for establishing a degradation model in the temperature and humidity acceleration stress model of the electric energy meter according to the temperature and humidity information.
And the acceleration model unit is used for establishing an acceleration model in the temperature and humidity acceleration stress model of the electric energy meter according to the temperature and humidity information.
The temperature and humidity stress limit unit is used for obtaining the temperature and humidity stress limit of the electric energy meter by utilizing a pre-experiment.
And the stress application determining unit is used for determining the stress application of each test according to the temperature and humidity stress limit of the electric energy meter.
And the stress application minimum time unit is used for determining the minimum time of each test stress application according to the acceleration model.
The double-crossover stepping stress test unit is used for carrying out double-crossover stepping stress test according to the determined degradation model, each test stress application and each test stress application minimum time.
In another embodiment, a computer system is provided that includes a memory for storing computer programs/instructions and a processor. The processor is used for executing the computer program/instruction to realize the electric energy meter stepping stress test method under the combined action of temperature and humidity stress.
The invention can make up for the defects of high requirement on sample size and long test time of the traditional constant stress test method, effectively shortens the time of the accelerated degradation test of the electric energy meter, reduces the test cost and improves the test efficiency.
The foregoing is merely a preferred embodiment of the present invention and it should be noted that modifications and adaptations to those skilled in the art may be made without departing from the principles of the present invention, which are intended to be comprehended within the scope of the present invention.